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A simple log question

  1. Jul 2, 2005 #1
    This question should be easy to most people here and need some help on this question.

    3log25 - log34 + log2(log39)

    My answer to this question is:
    = 3log25 - log34 + log2(log9/log3)
    = log2125 - log34 + log22
    = log2125 - log34 + 1
    = (log125 / log2) - (log4 / log3) + 1
    = 6.703924778

    However the correct answer give is 6.335, which means my answer is wrong. Can somebody tell me what's wrong with my answer and what should I do to get the correct answer? :frown:

    Thanks :)
    Last edited: Jul 2, 2005
  2. jcsd
  3. Jul 2, 2005 #2


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    These steps you have made do not make any sense:

    [tex]\log_2 \log_2 9 \Rightarrow \log_2 \left( \frac{\log 9}{\log 3} \right) \Rightarrow \log_2 2[/tex]
  4. Jul 2, 2005 #3
    opps...sorry. i had a typo in my post. edited it

    it should be:
    [tex]\log_2 \log_3 9 \Rightarrow \log_2 \left( \frac{\log 9}{\log 3} \right) \Rightarrow \log_2 2[/tex]

    but i still cannot solve this equation. :(
  5. Jul 2, 2005 #4


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    Well in that case your reduction of the logs is perfectly correct and your approximation to the number in decimal places is also correct. The number is about:

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